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math.AG2026
Normal complex surface singularities with rational homology disk smoothings
Márton Beke, Heesang Park, Dongsoo Shin +1
We prove that a normal surface singularity whose minimal good resolution graph has at least two nodes does not admit a rational homology disk smoothing. Together with the earlier g…
math.GT2026
Planar multilinks and rational singularities
Márton Beke, Olga Plamenevskaya
Fibered multilinks are a generalization of classical fibered knots and open books that arise in the study of surface singularities and Milnor fibrations. We prove that if the canon…